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1377164720 = 24553379857
BaseRepresentation
bin101001000010101…
…1101110110110000
310112222101012211202
41102011131312300
510310023232340
6344353230332
746061464331
oct12205356660
93488335752
101377164720
11647412268
123252623a8
1318c414989
14d0c8a288
1580d83c15
hex5215ddb0

1377164720 has 80 divisors (see below), whose sum is σ = 3274745760. Its totient is φ = 538417152.

The previous prime is 1377164687. The next prime is 1377164749. The reversal of 1377164720 is 274617731.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1606532 + ... + 1607388.

It is an arithmetic number, because the mean of its divisors is an integer number (40934322).

Almost surely, 21377164720 is an apocalyptic number.

1377164720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377164720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637372880).

1377164720 is an abundant number, since it is smaller than the sum of its proper divisors (1897581040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1377164720 is a wasteful number, since it uses less digits than its factorization.

1377164720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 38.

The square root of 1377164720 is about 37110.1700346414. The cubic root of 1377164720 is about 1112.5732901260.

The spelling of 1377164720 in words is "one billion, three hundred seventy-seven million, one hundred sixty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 379 424 530 758 848 857 1060 1516 1714 1895 2120 3032 3428 3790 4240 4285 6064 6856 7580 8570 13712 15160 17140 20087 30320 34280 40174 45421 68560 80348 90842 100435 160696 181684 200870 227105 321392 324803 363368 401740 454210 649606 726736 803480 908420 1299212 1606960 1624015 1816840 2598424 3248030 3633680 5196848 6496060 12992120 17214559 25984240 34429118 68858236 86072795 137716472 172145590 275432944 344291180 688582360 1377164720